Robust optimal control: low-error operation for the longest time

The problem of maximising the time during which an open-loop system can operate without exceeding a specified error bound is considered for linear systems that are subject to uncertainties about their parameters and their initial conditions, and whose operation is hampered by disturbance signals. Th...

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Bibliographic Details
Published inInternational journal of control Vol. 83; no. 4; pp. 731 - 740
Main Authors Chakraborty, Debraj, Hammer, Jacob
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis Group 01.04.2010
Taylor & Francis
Taylor & Francis Ltd
Subjects
Applied sciences
bang-bang control
Computer science; control theory; systems
Control theory. Systems
Exact sciences and technology
Mathematical models
Optimal control
robust control
Studies
Robust control
Performance evaluation
Uncertain system
Input signal
Optimal control
Bounded error
Optimal operation
Open loop
Optimal input
Bang bang control
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Summary:The problem of maximising the time during which an open-loop system can operate without exceeding a specified error bound is considered for linear systems that are subject to uncertainties about their parameters and their initial conditions, and whose operation is hampered by disturbance signals. The objective is to characterise an optimal input signal that keeps performance errors within specified bounds for the longest time. It is shown that such an input signal exists, and that it can be approximated by a bang-bang input signal without significantly affecting performance.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0020-7179
1366-5820
DOI:10.1080/00207170903406249